Alg 2 Honors Flashcard 4

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

No real solutions.

Front

If a quadratic graph does not intersect the x-axis, what can be said about its solutions?

Back

It has no real solutions.

Front

How many solutions does the quadratic equation x² + 8x + 16 have?

Back

1 solution.

Front

What is the discriminant of the quadratic function y = x² + 4x + 4?

Back

Zero.

Front

Simplify the expression (2 - 3i)(5 + 4i).

Back

22 - 7i.

Front

What is the formula for the discriminant of a quadratic equation ax² + bx + c?

Back

D = b² - 4ac.

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

Two distinct real solutions.

Front

What does a zero discriminant indicate about the solutions of a quadratic equation?

Back

One real solution (a repeated root).

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.